Hilbert's program

GPTKB entity

Properties (64)
Predicate Object
gptkbp:instanceOf gptkb:concept
gptkbp:aimsTo formalize all of mathematics
establish consistency of mathematical systems
gptkbp:designedBy gptkb:David_Hilbert
https://www.w3.org/2000/01/rdf-schema#label Hilbert's program
gptkbp:influencedBy formalism
gptkbp:involves axiomatization
gptkbp:isAssociatedWith gptkb:Hilbert's_tenth_problem
proof theory
gptkbp:isChallengedBy intuitionism
mathematical constructivism
constructivism
philosophical_critiques
gptkbp:isCitedBy Kurt Gödel
philosophers
mathematical philosophers
gptkbp:isConnectedTo axiomatic set theory
formal systems
mathematical consistency
axiomatic foundations
gptkbp:isConsidered historically significant
a foundational approach
a pivotal concept
a foundational program
a major initiative
gptkbp:isCriticizedFor gptkb:Ludwig_Wittgenstein
gptkbp:isDiscussedIn academic journals
philosophy of mathematics
mathematical conferences
mathematical literature
contemporary mathematics
gptkbp:isEngagedIn philosophical texts
gptkbp:isExaminedBy modern mathematics
mathematicians
philosophers of mathematics
mathematical philosophy
historical perspectives on mathematics
gptkbp:isExploredIn mathematical foundations
mathematical theory
historical context of mathematics
historical analysis of mathematics
gptkbp:isInfluencedBy computer science
proof theory
logicism
the philosophy of logic
gptkbp:isLinkedTo set theory
formal proofs
decidability
mathematical rigor
mathematical abstraction
gptkbp:isPartOf theoretical computer science
foundations of mathematics
mathematical discourse
20th-century mathematics
theoretical frameworks in mathematics
gptkbp:isReflectedIn gptkb:Hilbert's_axioms
Hilbert's_axiomatic_method
Hilbert's_formalism
Hilbert's_foundational_work
Hilbert's_program_for_mathematics
gptkbp:isRelatedTo gptkb:Gödel's_incompleteness_theorems
mathematical logic
gptkbp:isSubjectTo philosophical debate
gptkbp:ledTo development of mathematical logic